Free Vibrations Of A Cantilever

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Free Vibrations Of A Cantilever

Model No: THMC-06

 

  • This product is part of a range that explores free vibrations in simple ‘one degree of freedom’ systems. 
  • A beam with the mass at the end works in a similar way to a mass spring system - the stiffness of the beam simply replaces the stiffness of the spring. 
  • The vibrating cantilever examines what happens if the spring element is not light. 
  • A back panel fixes to the Test Frame. 
  • Panel holds a sturdy clamp and two runners. Clamp holds the beam. 
  • Students use the clamp to adjust the oscillating length of the cantilever. 
  • The runners hold a non-contacting sensor that measures the oscillations at the end of the cantilever. 
  • The sensor has no physical contact with the beam, for negligible damping.
  • The vibrating cantilever forms a simple and highly visual example of oscillations that may occur in real structures such as aircraft wings. 

Such as:

  • Simple harmonic motion (SHM) and frequency of oscillation.
  • Beam stiffness, Rayleigh’s method, Dunkerley’s method, Second moment of area.
  • Phase difference between displacement and its derivatives.